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Finding the Fourth Proportional to 2,656.78, 3,666.09 and 2,027.71

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Solution

The fourth proportional to 2,656.78, 3,666.09 and 2,027.71 is: 2,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.78 : 3,666.09 = 2,027.71 : x
  2. Step 2: Convert to fraction form
    2,656.78/3,666.09 = 2,027.71/x
  3. Step 3: Cross multiply
    2,656.78x = 3,666.09 × 2,027.71
  4. Step 4: Simplify right side
    2,656.78x = 7,433,767.35
  5. Step 5: Solve for x
    x = 7,433,767.35/2,656.78
  6. Step 6: Final answer
    x = 2,798.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.